Problem preview

F-IF.7.a Warmup M2-021-A08-V03

Graph linear and quadratic functions and identify intercepts, maxima, and minima.

Identify the maximum or minimum of a quadratic from its equation

Problem

Rewrite \(y=x^{2}-6x+10\) by completing the square. Use the resulting vertex form and the positive leading coefficient to determine the vertex, opening direction, minimum value, and range. Identify the feature statement consistent with the equivalent form.

Answer choices

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Vertex (3,10); opens up; minimum 10; range y≥10.

y=(x−3)²+1; vertex (3,1); opens down; maximum 1; range y≤1.

y=(x−1)²+3; vertex (1,3); opens up; minimum 3; range y≥3.

y=(x−3)²+1; vertex (3,1); opens up; minimum 1; range y≥1.

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Curriculum context

Course: Math II
Standard: F-IF.7.a
Category: Functions
Domain: Interpreting Functions
Objective: Graph linear and quadratic functions and identify intercepts, maxima, and minima.
Problem type: Identify the maximum or minimum of a quadratic from its equation